Question

How did $4\pi\epsilon_0$ and $\mu_0/4\pi$ originate in Electrostatics and Magnetism Respectively?

Answer 1

Hello mate here is your answer.

The 4ππ got in there because "it would be better, in situations of spherical geometry, to include a factor 4π in equations like Coulomb's law. The numerical values of ϵ0ϵ0 and μ0μ0 are strongly realated to the CGS and later SI unit system.

Hope it helps you.

Answer 2

How $4\pi\epsilon_0$ and $\mu_0/4\pi$ originate in Electrostatics and Magnetism Respectively?

$\bf \huge \: 4 \: \pi \: \epsilon_0 \: and \: \: \mu_0/4\pi$